plumiTrigonometry with de Moivre: OCR A‑Level Further Maths questions
OCR A-Level Further Maths past-paper questions on 2.7 Trigonometry with de Moivre, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
Questions from
Paper
All papers
Exam
All years
Loading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDF
All 6 questions on Trigonometry with de Moivre, as a list
- June 2025, Pure Core 1, Q10 (11 marks): In this question you must show detailed reasoning. (a) Use de Moivre’s Theorem to show that, if cos5 0 , i ! 5 3 tan 10 tan 5 tan - + i i i tan 5 . [4] i / 4 2
- June 2023, Pure Core 1, Q9 (14 marks): In this question you must show detailed reasoning. (a) Use de Moivre’s theorem to determine constants A, B and C such that 4 sin A cos 4 B cos 2 C . [5] + i + i
- June 2022, Pure Core 2, Q9 (9 marks): In this question you must show detailed reasoning. ^ h 4 i i i 4 4 (a) Show that Re e i ( e i e - i ) a cos 4 cos , where a is an integer to be determined. [3]
- November 2021, Pure Core 1, Q5 (4 marks): Use de Moivre’s theorem to find the constants A, B and C in the identity 5 sin A sin B sin 3 C sin 5 . [4] i / i + i + i
- November 2020, Pure Core 1, Q5 (5 marks): J N 3 1 3 i KK 2 OO where ei 5 By expanding z , z i show that , 4 cos 2 cos 6 3 cos 2 [5] . + = = i + i 2 z L P
- June 2019, Pure Core 2, Q8 (8 marks): In this question you must show detailed reasoning. (a) By writing sini in terms of eii and e ii - show that 1 6 sin ( 10 15 cos 2 6 cos 4 cos 6 ) . [5] = - + -
Questions, mark schemes and examiner’s reports are © OCR, from their published past papers. Plumi isn’t affiliated with any exam board. Want whole papers? OCR A-Level Further Maths past papers.
The Plumi iPad app also offers exam-style questions with AI feedback on your handwritten working.